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Finding the Fourth Proportional to 2,328.70, 3,214.29 and 1,385.16

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Solution

The fourth proportional to 2,328.70, 3,214.29 and 1,385.16 is: 1,911.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.70 : 3,214.29 = 1,385.16 : x
  2. Step 2: Convert to fraction form
    2,328.70/3,214.29 = 1,385.16/x
  3. Step 3: Cross multiply
    2,328.70x = 3,214.29 × 1,385.16
  4. Step 4: Simplify right side
    2,328.70x = 4,452,282.94
  5. Step 5: Solve for x
    x = 4,452,282.94/2,328.70
  6. Step 6: Final answer
    x = 1,911.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.